Question

Dado sen x = 3/4 e cos x = - √7 / 4, com π / 2 < x < π, calcule: a) tg x b) cot g x c) sec x d)cosec x

Answer 1

$\large\boxed{\begin{array}{l}\tt a)~\sf tg(x)=\dfrac{sen(x)}{cos(x)}\\\sf tg(x)=\dfrac{\frac{3}{4}}{-\frac{\sqrt{7}}{4}}=-\dfrac{3}{\sqrt{7}}=-\dfrac{3\sqrt{7}}{7}\\\tt b)~\sf cotg(x)=-\dfrac{\sqrt{7}}{3}\\\tt c)~\sf sec(x)=-\dfrac{4}{\sqrt{7}}=-\dfrac{4\sqrt{7}}{7}\\\tt d)~\sf cosec(x)=\dfrac{4}{3}\end{array}}$